Pentagonal toroprism

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Pentagonal toroprism
Rank3
TypeIsogonal
Elements
Faces10 isosceles triangles, 5 rectangles
Edges5+10+10
Vertices10
Vertex figureMirror-symmetric pentagon
Related polytopes
ArmyPip
ConjugatePentagrammic toroprism
Abstract & topological properties
Euler characteristic0
OrientableYes
Genus1
Properties
SymmetryH2×A1, order 20
ConvexNo
NatureTame

The pentagonal toroprism is an isogonal polyhedron. It consists of 5 rectangles and 10 isosceles triangles. Each vertex joins 2 rectangles and 3 triangles. It is the blend of a pentagonal prism and a pentagonal retroprism.

It appears as the vertex figure of rixhi, ridhi, rihix, and ripahi.